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Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets1 Mark
MCQ
If $A = \{1, 2, 4\}, B = \{2, 4, 5\}$ and $C = \{2, 5\},$ then $\ce{(A − B) \times (B − C)} =$
  • A
    $\{(1, 2), (1, 5), (2, 5)\}$
  • B
    $\{\{1, 4\}\}$
  • ✓
    $(1, 4)$
  • D
    $\{(1, 2)\}$
✓

Answer

Correct option: C.
$(1, 4)$
$A = {1, 2, 4}$ and $B = {2, 4, 5}$
$A − B = {1, 2, 4} − {2, 4, 5} = {1}$
$B={2,4,5}$ and $C = {2, 5}$
$B − C = {2, 4, 5} − {2, 5} = {4}$
$\ce{(A − B) \times (B − C)} = {1} \times {4} = (1, 4)$

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